A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is NOT a white shirt. Write your answer as a fraction.2 points6/157/158/159/15
Question
A drawer is filled with 3 black shirts, 8 white shirts, and 4 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is NOT a white shirt. Write your answer as a fraction.2 points6/157/158/159/15
Solution
The total number of shirts is 3 (black) + 8 (white) + 4 (gray) = 15 shirts.
The number of white shirts is 8.
The event of NOT picking a white shirt is equivalent to picking either a black or a gray shirt. The number of black and gray shirts is 3 (black) + 4 (gray) = 7 shirts.
The probability of an event is defined as the number of ways the event can occur divided by the total number of outcomes.
So, the probability of NOT picking a white shirt is the number of black and gray shirts divided by the total number of shirts, which is 7/15.
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